110100100111111 has 16 divisors (see below), whose sum is σ = 122665511420928. Its totient is φ = 97960768338400.

The previous prime is 110100100111069. The next prime is 110100100111297. The reversal of 110100100111111 is 111111001001011.

It is a happy number.

It is not a de Polignac number, because 110100100111111 - 2²¹ = 110100098013959 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110100100115111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 90685206 + ... + 91891276.

It is an arithmetic number, because the mean of its divisors is an integer number (7666594463808).

Almost surely, 2^{110100100111111} is an apocalyptic number.

110100100111111 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

110100100111111 is a deficient number, since it is larger than the sum of its proper divisors (12565411309817).

110100100111111 is a wasteful number, since it uses less digits than its factorization.

110100100111111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1382702.

The product of its (nonzero) digits is 1, while the sum is 10.

Adding to 110100100111111 its reverse (111111001001011), we get a palindrome (221211101112122).

The spelling of 110100100111111 in words is "one hundred ten trillion, one hundred billion, one hundred million, one hundred eleven thousand, one hundred eleven".